Generalized Rogers Ramanujan identities motivated by AGT correspondence

DOI10.1007/s11005-013-0653-2zbMath1331.81252arXiv1212.6600OpenAlexW2950539721MaRDI QIDQ381019

Doron R. Gepner, Alexander A. Belavin

Publication date: 15 November 2013

Published in: Letters in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1212.6600

zbMATH Keywords

conformal field theoryAGT correspondencegeneralized Rogers Ramanujan identities

Mathematics Subject Classification ID

Binomial coefficients; factorials; (q)-identities (11B65) Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Applications of Lie (super)algebras to physics, etc. (17B81)

Related Items

The \(\operatorname{SU}(r)_{2}\) string functions as \(q\)-diagrams, Level two string functions and Rogers Ramanujan type identities, Generalized Rogers–Ramanujan identities for twisted affine algebras, Coset conformal field theory and instanton counting on \(\mathbb{C}^{2}/\mathbb{Z}_{p}\), Parafermionic bases of standard modules for affine Lie algebras, On the characters of parafermionic field theories, A slow review of the AGT correspondence

Cites Work

• Super Liouville conformal blocks from \( \mathcal{N} = 2 \) SU(2) quiver gauge theories
• Seiberg-Witten prepotential from instanton counting
• Instanton moduli spaces and bases in coset conformal field theory
• Liouville correlation functions from four-dimensional gauge theories
• Fermionic sum representations for conformal field theory characters
• CHARACTERS IN CONFORMAL FIELD THEORIES FROM THERMODYNAMIC BETHE ANSATZ
• Structure of the Standard Modules for the Affine Lie Algebra 𝐴⁽¹⁾₁
• Quasi-Particles, Conformal Field Theory, and q-Series
• Further Identities of the Rogers-Ramanujan Type